We have studied the superconducting transition of the high-Tc Li-doped Bi(Pb)-Sr-Ca-Cu-O superconductors by the DC-resistivity and AC-susceptibility measurements. It was found that Li+ cations are partially substituted for Cu2+ ions. Doping hole by Lithium substitution was supposed to take place in both OP and IP CuO2 planes. Consequently, the hole concentration increases in the CuO2 planes. The onset temperature of superconducting transition, Tc, onset was observed to increase with Li-doping content as well as the sintering time at 850oC. We suppose that the optimum hole doping was obtained at 5% Li-doping and the sintering period of 20 days (S05B) with the value of Tc, onset > 116 K.